Question

Solve for the height of the building when the distance between the building and a person is 27

meters and the angle of elevation from the person is 49º. Construct a diagram to help you
solve. Round your answer to the nearest meter.

Answer 1

9514 1404 393

Answer:

31 m

Explanation:

The relevant trig relation is ...

Tan = Opposite/Adjacent

With reference to the attached diagram, we have ...

tan(49°) = BG/GP

BG = GP×tan(49°) = (27 m)×tan(49°) ≈ 31.0599 m

The height of the building is about 31 meters.